Question

In △CDE , CD=14 , DE=9 , and m∠E=71∘ .

Answer 1

Answer:

71.6 degrees

Step-by-step explanation:

We can use the law of sines: $\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}$

Here, we have: $\frac{14}{sin71} =\frac{9}{sinC}$

Solving for C, we have: 14 * sinC = 9 * sin71  ⇒  C = 37.4 degrees

To find angle D, we take 180 degrees and subtract angles E and C from it:

180 - 71 - 37.4 = 71.6 degrees.

Thus, the answer is 71.6 degrees.

Hope this helps!

Answer 2

Answer:

71.6°

Step-by-step explanation:

CD/sinE = DE/sinC

14/sin(71) = 9/sinC

sinC = 0.60783337

C = 37.43300585

Angle D = 180 - 37.43300585 - 71

Angle D = 71.56699415